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Finding the Fourth Proportional to 1,071.91, 1,479.43 and 629.84

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Solution

The fourth proportional to 1,071.91, 1,479.43 and 629.84 is: 869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.91 : 1,479.43 = 629.84 : x
  2. Step 2: Convert to fraction form
    1,071.91/1,479.43 = 629.84/x
  3. Step 3: Cross multiply
    1,071.91x = 1,479.43 × 629.84
  4. Step 4: Simplify right side
    1,071.91x = 931,796.79
  5. Step 5: Solve for x
    x = 931,796.79/1,071.91
  6. Step 6: Final answer
    x = 869.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.